553559040000 has 840 divisors, whose sum is σ = 2053924324452. Its totient is φ = 143523840000.

The previous prime is 553559039993. The next prime is 553559040079. The reversal of 553559040000 is 40955355.

It can be written as a sum of positive squares in 10 ways, for example, as 45338333184 + 508220706816 = 212928^2 + 712896^2 .

It is a super-2 number, since 2×553559040000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1889279854 + ... + 1889280146.

Almost surely, 2^553559040000 is an apocalyptic number.

553559040000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 553559040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026962162226).

553559040000 is an abundant number, since it is smaller than the sum of its proper divisors (1500365284452).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

553559040000 is an equidigital number, since it uses as much as digits as its factorization.

553559040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

Adding to 553559040000 its reverse (40955355), we get a palindrome (553599995355).

The spelling of 553559040000 in words is "five hundred fifty-three billion, five hundred fifty-nine million, forty thousand".